Lesson 3

Question 1

The science of correct reasoning.

Answer 1

Logic

Question 2

The drawing of inferences or conclusions
from known or assumed facts

Answer 2

Reasoning

Question 3

Reasoning can either be ________ or ________

Answer 3

inductive or deductive

Question 4

Logic is ___ the study
of __________and
manipulative rhetorical
_______

Answer 4

NOT

persuasion

devices

Question 5

‘successful argument’ does not mean _______
argument

Answer 5

Persuasive

Question 6

the process of reaching a general
conclusion by examining specific examples.

Answer 6

Inductive reasoning

Question 6

Human fallibility and manipulative
rhetoric led people to

Answer 6

accept poor reasoning

reject good reasoning

Question 7

the process of reaching a
conclusion by applying general assumptions, procedures,
or principles.

Answer 7

Deductive reasoning

Question 8

uses patterns to arrive at a
conclusion (conjecture

Answer 8

inductive reasoning

Question 9

uses facts, rules, definitions or
properties to arrive at a conclusion

Answer 9

deductive reasoning

Question 10

In Deductive Reasoning,
TRUE
PREMISE
+
TRUE
PREMISE =

Answer 10

TRUE PREMISE

Question 11

while in Inductive Reasoning,

TRUE
PREMISE
+
TRUE
PREMISE =

Answer 11

PROBABLY TRUE
CONCLUSION

Question 12

________ordered list of numbers.

The numbers separated by commas are called the________

Answer 12

Sequence

Terms of sequence

Question 13

Who invented the pascal triangle

Answer 13

Blaise Pascal

Question 14

Used for identifying large Fibonacci numbers.

Jacques Philippe Marie Binet

Answer 14

Binet’s Formula

Question 15

One of the recent mathematicians who outlined a
strategy for solving problems from virtually any discipline
is

Father of problem-solving

Answer 15

George Polya

Question 16

George Polya;s book

Answer 16

“How to Solve It”

Question 17

Think of strategies to solve the problem.

Answer 17

Devise a plan

Question 17

POLYA’S FOUR - STEP PROBLEM - SOLVING STRATEGY

Answer 17

1. Understand the problem
2. Devise a plan
3. Carry out the plan
4. Review the solution

Question 18

This part of the problem-solving is sometimes (if not
always) neglected

You can state the problem in your own words

Answer 18

Understand the problem

Question 19

• Implementing the strategy chosen (in the second step)
  until the problem is solved.

Answer 19

Carry out the plan

Question 20

• Counter checking if your answers are correct.

Answer 20

Review the solution

Question 21

The statement
𝑎 ≡ 𝑏𝑚𝑜𝑑 𝑛 is called a

Answer 21

Congruence